Geodesic
On a sequence involving prime numbers
Journal of integer sequences, Tome 18 (2015) no. 7.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study a particular sequence $C_{n} = np_{n} - \Sigma _{k \le n} p_{k}, n \in $ N, involving prime numbers by deriving two asymptotic formulae, and we find a new lower bound for $C_{n}$ that improves the currently known estimates. Furthermore, for the first time we determine an upper bound for $C_{n}$.
Classification : 11A41, 11B83, 11N05
Keywords: asymptotic formula, mandl's inequality, prime number 
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     author = {Axler, Christian},
     title = {On a sequence involving prime numbers},
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     number = {7},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_7_a7/}
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Axler, Christian. On a sequence involving prime numbers. Journal of integer sequences, Tome 18 (2015) no. 7. http://geodesic.mathdoc.fr/item/JIS_2015__18_7_a7/